The arc angle AC is measured as 55 degrees.
<h3>How to find arc angle?</h3>
If two secant intersect in the exterior of a circle, then the measure of the angle formed is half the positive difference of the arcs intercepted.
Therefore, the secants intersect outside the circle at point E.
The arc angle AC can be found as follows:
Therefore,
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
arc angle AC = x
arc angle BD = 23 degrees.
m∠BED = 16 degrees.
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
16 = 1 / 2 (x - 23)
16 = 1 / 2x - 23 / 2
16 + 11.5 = 0.5x
27.5 = 0.5x
x = 27.5 / 0.5
x = 55 degrees.
Therefore,
arc angle AC = 55 degrees.
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Answer:
The horizontal segment of E and vertical segments of M.
Step-by-step explanation:
Answer:
1 
Step-by-step explanation:
- First convert this mix number into a improper number
13/3-5/2
- Then find the LCM of the denominator
26/6-15/6
11/6
1 
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we know that
the standard form of the equation of the circle is

where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have

<u>Convert to standard form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square twice. Remember to balance the equation by adding the same constants to each side.


Rewrite as perfect squares


the center of the circle is 
the radius of the circle is 
therefore
<u>the answer is</u>
the radius of the circle is 